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Finding the Fourth Proportional to 101,221.86, 151,834.59 and 31,101.78

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Solution

The fourth proportional to 101,221.86, 151,834.59 and 31,101.78 is: 46,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,221.86 : 151,834.59 = 31,101.78 : x
  2. Step 2: Convert to fraction form
    101,221.86/151,834.59 = 31,101.78/x
  3. Step 3: Cross multiply
    101,221.86x = 151,834.59 × 31,101.78
  4. Step 4: Simplify right side
    101,221.86x = 4,722,326,014.57
  5. Step 5: Solve for x
    x = 4,722,326,014.57/101,221.86
  6. Step 6: Final answer
    x = 46,653.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.